Finding the Third Proportional to 80,313 and 117,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,313 : 117,589.50 = 117,589.50 : x
2. Step 2: Convert to fraction form
   80,313/117,589.50 = 117,589.50/x
3. Step 3: Cross multiply
   80,313x = 117,589.50 × 117,589.50
4. Step 4: Simplify right side
   80,313x = 13,827,290,510.25
5. Step 5: Solve for x
   x = 13,827,290,510.25/80,313
6. Step 6: Final answer
   x = 172,167.53